you don´t have to raise 77 being oop against loose player who would often limp/call and won´t fold his hands
I would likely prefer c/c turn instead of second barreling.
You won´t fold better hands, he would likely still call with draws and since you can´t b/c you´re turning your hand into bluff.
If you check and he bets, then you can c/c once and then evaluate river.